(a=28cm, b=48cm). If four square pieces are to be cut from the corners of the cardboard to obtain a height of x, determine the value of x that gives a box of volume 2875 cm3. And determine the maximum volume that can be obtained.

Q: What are the dimensions of the base of a rectangular pyramidal frustum with a volume of 4400, a…

A: The volume of the pyramidal frustum is=h3×l×w+lw×l1w1+l1w1 where h=height  l1= length of the upper…

Q: A gardener wants to enclose a rectangular area using 260 feet o wooden fence. Find the dimensions…

A:

Q: You have 268 feet of fencing to enclose a rectangular region. What is the maximum area of the…

A: maximum area of the rectangle

Q: A wire is to be cut into two pieces. One piece will be bent into an equilateral triangle, and the…

A:

Q: An оpen box is to be made from a 6 ft by 16 ft rectangular cardboard by cutting out equal squares…

A: We can find the maximum volume of the box as below

Q: A page printed must contain 60sq. cm. of printed material. There are to be margins of 5cm. on either…

A: Let us consider the length be l cm and width be b cm of a rectangle Thus, the area of the rectangle…

Q: A box with no lid is made by cutting 4 squares of side lenght x from each corner of an 18 cm by 35…

A: After cutting side length x from each side length be l  , l=18-2x breadth be b , b=35-2x height be h…

Q: If 1200 cm² of material is used to make a closed cardboard box with a square base. Find the exact…

A: This question can be solved using the concept of maxima and minima.

Q: A rectangular piece of cardboard has a size of 45 x 24 cm. This cardboard will be made into a box…

A:

Q: rectangular box without a lid must have a volume of 2 cubic meters. Suppose the material used on the…

A: Given:- A rectangular box without a lid must have a volume of 2 cubic meters. Suppose the material…

Q: Find the dimensions of the rectangular dog park producing the greatest enclosed area given 260 feet…

A: We can find the dimension of the park producing greatest area in the below steps.